Which of the following describes the sum in terms of p and q?(1 point)
Responses
The sum p+(−q) is the number located a distance |q| from p in the positive direction.
The sum p plus left parenthesis negative q right parenthesis is the number located a distance Start Absolute Value q End Absolute Value from p in the positive direction.
The sum −p+(−q) is the number located a distance p from q in the positive direction.
The sum negative p plus left parenthesis negative q right parenthesis is the number located a distance p from q in the positive direction.
The sum p+(−q) is the number located a distance |q| from p in the negative direction.
The sum p plus left parenthesis negative q right parenthesis is the number located a distance Start Absolute Value q End Absolute Value from p in the negative direction.
The sum p+(−q) is the number located a distance |p| from q in the negative direction.
The correct answer is: The sum p plus left parenthesis negative q right parenthesis is the number located a distance Start Absolute Value q End Absolute Value from p in the positive direction.
Use properties of operations to add (−3) and (−17).(1 point)
Responses
20
20
14
14
−14
negative 14
−20
The correct description of the sum in terms of p and q is:
"The sum p+(−q) is the number located a distance |q| from p in the positive direction."
The correct answer is:
The sum p+(−q) is the number located a distance |q| from p in the positive direction.
To determine the sum in terms of p and q, you need to know the definitions of addition and subtraction.
In this case, p + (−q) means adding p and the opposite of q, which is −q. This can also be written as p - q.
When you subtract q from p, you are moving q units in the negative direction from p. The absolute value |q| represents the distance of q from p, regardless of the direction. Therefore, the sum p+(−q) is the number located a distance |q| from p in the positive direction.